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199676664 = 233411109257
BaseRepresentation
bin10111110011011…
…01001011111000
3111220201121220000
423321231023320
5402104123124
631451433000
74643136465
oct1371551370
9456647800
10199676664
11a2792040
1256a55760
13324a3095
141c73a66c
15127e36c9
hexbe6d2f8

199676664 has 160 divisors (see below), whose sum is σ = 618116400. Its totient is φ = 59719680.

The previous prime is 199676657. The next prime is 199676671. The reversal of 199676664 is 466676991.

199676664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199676657) and next prime (199676671).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 199676664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 776824 + ... + 777080.

Almost surely, 2199676664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199676664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309058200).

199676664 is an abundant number, since it is smaller than the sum of its proper divisors (418439736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199676664 is a wasteful number, since it uses less digits than its factorization.

199676664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 199676664 is about 14130.6993457507. The cubic root of 199676664 is about 584.4882309263.

The spelling of 199676664 in words is "one hundred ninety-nine million, six hundred seventy-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 109 132 162 198 216 218 257 264 297 324 327 396 436 514 594 648 654 771 792 872 891 981 1028 1188 1199 1308 1542 1782 1962 2056 2313 2376 2398 2616 2827 2943 3084 3564 3597 3924 4626 4796 5654 5886 6168 6939 7128 7194 7848 8481 8829 9252 9592 10791 11308 11772 13878 14388 16962 17658 18504 20817 21582 22616 23544 25443 27756 28013 28776 32373 33924 35316 41634 43164 50886 55512 56026 64746 67848 70632 76329 83268 84039 86328 97119 101772 112052 129492 152658 166536 168078 194238 203544 224104 228987 252117 258984 305316 308143 336156 388476 457974 504234 610632 616286 672312 756351 776952 915948 924429 1008468 1232572 1512702 1831896 1848858 2016936 2269053 2465144 2773287 3025404 3697716 4538106 5546574 6050808 7395432 8319861 9076212 11093148 16639722 18152424 22186296 24959583 33279444 49919166 66558888 99838332 199676664